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Simplifying 3x + -6 = -4x + 43 Reorder the terms: -6 + 3x = -4x + 43 Reorder the terms: -6 + 3x = 43 + -4x Solving -6 + 3x = 43 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 3x + 4x = 43 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = 43 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = 43 + 0 -6 + 7x = 43 Add '6' to each side of the equation. -6 + 6 + 7x = 43 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 43 + 6 7x = 43 + 6 Combine like terms: 43 + 6 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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